The 
-lollipop
graph is the graph obtained by joining a complete graph 
to a path
graph 
with a bridge. Precomputed properties of lollipop
graphs are available in the Wolfram Language
as GraphData[
"Lollipop", 
m, n
].
The 
-lollipop
graph is isomorphic to the paw graph. In general, the
-lollipop graph is isomorphic to
the 
-tadpole graph.
Lollipop graphs are geodetic.
